445lec25 - PHYS 445 Lecture 25 - T = 0 Fermi gas Lecture 25...

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PHYS 445 Lecture 25 - T = 0 Fermi gas 25 - 1 © 2001 by David Boal, Simon Fraser University. All rights reserved; further resale or copying is strictly prohibited. Lecture 25 - T = 0 Fermi gas What's Important: T = 0 Fermi gas metals neutron stars Text : Reif T=0 Fermi gas The previous lecture for the density of states in phase space dealt only with the energetics, not the statistics, of the allowed states. That is, we constructed the solutions via the "old" quantum theory and then saw how many states occupied a given volume of phase space. Now, let's add fermions to these states. Physically, this applies to systems of electrons, protons, neutrons. .. individually or as multi-component systems. In three dimensions, the lowest lying states are states number n x n y n z n x 2 + n y 2 + n z 2 ___ ___ ___ 3 1 2 2 9 2 1 2 9 2 2 1 9 ___ ___ ___ 3 1 1 2 6 1 2 1 6 2 1 1 6 ___ 1 1 1 1 3 Putting fermions into these levels at one fermion per state takes us back to the calculation in the previous lecture. At T = 0, the particles have their lowest available energies: all states with E E max are occupied all states with E E max are empty n max n max n x n max n y n z
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PHYS 445 Lecture 25 - T = 0 Fermi gas
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This note was uploaded on 09/07/2009 for the course PHYS 445 taught by Professor Davidboal during the Spring '08 term at Simon Fraser.

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445lec25 - PHYS 445 Lecture 25 - T = 0 Fermi gas Lecture 25...

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